Hamilton Beach has developed a new countertop blender line. At this stage, the development team is debating whether they should pursue a simple 1-Speed blender model or stick with their standard 4-speed approach. Jennifer, the Group Innovation Manager, is not certain which of the two versions will be the better choice. She commissions a marketing research study to help her with the decision. In this study, 10 test markets were chosen for the 1-Speed model and 10 markets for the 4-speed model. The scanner data result is also shown. Additional Computer output: provide the anova table

1. Provide the hypothesis tested, the p-value, the decision rule, whether you accept or reject the chosen Ho at a confidence level of 95%.
2. What is the mean sales for each model? Verbally interpret these means.
3. Are the differences between the models statistically significant?
4. What is your recommendation to Jennifer?

The columns show:

1. Market Id#
2. Which version of the blender was offered in the market
3. Result from tracking the sales over the 4 week period following the participation in this study (in number of units sold)

One hundred teachers attended a seminar on mathematical problem solving. The attitudes of representative sample of 12 of the teachers were measured before and after the seminar. A positive number for change in attitude indicates that a teacher's attitude toward math became more positive. The twelve change scores are as follows.

4; 7; −1; 1; 0; 5; −2; 2; −1; 6; 5; −3

1. What is the mean change score? (Round your answer to two decimal places.)

2. What is the standard deviation for this sample? (Round your answer to two decimal places.)

3. What is the median change score? (Round your answer to one decimal place.)

4. Find the change score that is 2.2 standard deviations below the mean. (Round your answer to one decimal place.)

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A sample of 100 clients of an exercise facility was selected. Let X = the number of days per week that a randomly selected client uses the exercise facility.

1. Find the number that is 1.5 standard deviations BELOW the mean. (Round your answer to three decimal places.)

If the joint probability distribution of X and Y f(x, y) = (x + y)/2, x=0,1,2,3; y=0,1,2, Compute the following a. P(X≤2,Y =1) b. P(X>2,Y ≤1) c. P(X>Y) d. P(X+Y=4)

Given the following table of spot and coupon rates for Treasury Securities. Calculate the theoretical spot rate for the 2 years Treasury

An urn contains 4 marbles, either blue or green. The number of blue marbles is equally likely to be 0, 1, 2, 3, or 4. Suppose we do 3 random draws with replacement, and the observed sequence is: blue, green, blue. What is the probability the urn contains just 1 blue marble?

An urn contains 4 marbles, either blue or green. The number of blue marbles is equally likely to be 0, 1, 2, 3, or 4. Suppose we do 3 random draws with replacement, and the observed sequence is: blue, green, blue. What is the probability the urn contains just 1 blue marble?

1. Use the passion curve handout to make an n = 200, c = 1 OC curve and answer the following questions.

   (4 pts)

   1. Use the OC curve to determine the percentage of lots that will be accepted when the true lot

      proportion defective is 1%, 2%, and 4%.

   2. What is the AQL?

   3. What is the RQL?

   4. What is the IQL?

Windsor Company is a multiproduct firm. Presented below is information concerning one of its products, the Hawkeye.

Calculate average-cost per unit. (Round answer to 4 decimal places, e.g. 2.7613.)

Compute Cost of Goods Sold:

The following data represents sample data of 6 oz. bottles of after-shave. Develop the X-bar and R control charts (mean chart and range chart) for the following sample. A process that is considered to be in control measures an ingredient in ounces. Below are the samples taken from the process.

a) What are the control limits for the mean chart? (4 points)

b) What are the control limits for the range chart? (4 points)                       

c) Is the process in control? Show your explanation. (2 points)